Dr Arick Shao

Profile

Arick Shao is a Reader in Mathematics at the School of Mathematical Sciences, and he is a member of the Geometry and Analysis research group. His primary research interests lie in partial differential equations, mathematical analysis, differential geometry, and mathematical relativity.

Prior to joining Queen Mary University of London, Dr. Shao was a Research Associate at Imperial College London and a Postdoctoral Fellow at the University of Toronto. He holds a PhD in Mathematics from Princeton University.

Research

Research Interests:

Partial differential equations (wave equations, hyperbolic PDE, dispersive PDE, geometric PDE), analysis, mathematical relativity, differential geometry

Publications

• Enciso A, Shao A, Vergara B (publicationYear). Controllability of parabolic equations with inverse square infinite potential wells via global Carleman estimates Analysis & PDE nameOfConference.

  10.2140/apde.2026.19.241

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/105362
• Shao A, Vergara B (2024). Approximate boundary controllability for parabolic equations with inverse square infinite potential wells Nonlinear Analysis nameOfConference.

  10.1016/j.na.2024.113624

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/98363
• Jena VK, Shao A (2024). Control of waves on Lorentzian manifolds with curvature bounds ESAIM Control Optimisation and Calculus of Variations nameOfConference.

  10.1051/cocv/2024056

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/98583
• Shao A (2024). Bulk-Boundary Correspondences and Unique Continuation in Asymptotically Anti-de Sitter Spacetimes journal nameOfConference.

  10.1007/978-3-031-47417-0_13

  qmroHref
• Guisset S, Shao A (2024). On counterexamples to unique continuation for critically singular wave equations Journal of Differential Equations nameOfConference.

  10.1016/j.jde.2024.02.031

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/94718
• Shao A (2024). Control of Parabolic Equations with Inverse Square Infinite Potential Wells journal nameOfConference.

  10.1007/978-3-031-48579-4_18

  qmroHref
• Shao CT, Holzegel G (2023). The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes Archive for Rational Mechanics and Analysis nameOfConference.

  10.1007/s00205-023-01890-9

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/88526
• Dongbing L, Shao A (2022). Global stability of traveling waves for (1 + 1)-dimensional systems of quasilinear wave equations Journal of Hyperbolic Differential Equations nameOfConference.

  10.1142/s0219891622500163

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/78982
• Chatzikaleas A, Shao A (2022). A Gauge-Invariant Unique Continuation Criterion for Waves in Asymptotically Anti-de Sitter Spacetimes Communications in Mathematical Physics nameOfConference.

  10.1007/s00220-022-04434-6

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/78983
• Jena VK, Shao A (2021). Control of waves on Lorentzian manifolds with curvature bounds journal nameOfConference.

  10.48550/arxiv.2112.09539

  qmroHref